probability function

A standard die has its faces painted different colors. Faces3,4,6 are red, faces 2 and 5 are black and face 1 is white.
a) Find the probability that when the die is rolled, a black or even numbered face shows uppermost.

a game is played by rolling the die onvce. If any of the red faces show uppermost, the player wins the dollar amount showing, while id a black faces shows, the player losed twice the amount showing. If a white face shows, he wins or loses nothing.

b) find the probability function of the palyer's winnings X
c)find the expected amount won. Would you play this game?

Solution Preview

a)No of favourable outcomes = 2( there are 2 black faces) + 2( even face shows up , since 2 has a black face it is already been counted for).
<br>Total no of possible ...